Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
760 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#10621885 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. C2×#13063304 | C2 | semidirect |
| 4. #14583061 | C2 | direct (N × H) |
| 5. C2×#13063249 | C2 | semidirect |
| 6. C2×#13063246 | C2 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 11. C2×#10621885 | C22 | semidirect |
| 13. C2×#10621883 | C22 | semidirect |
| 17. #13063304 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 22. #13063246 | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 132. C2×C43 | #452 | semidirect |
| 144. C43 | C2×#452 | semidirect |
| 267. C2 | #14583061 | direct (N × H) |